Stabilization of Stochastic Coupled Systems With Time Delay Via Feedback Control Based on Discrete-Time State Observations

In this paper, the stabilization of stochastic coupled systems (SCSs) with time delay via feedback control based on discrete-time state observations is investigated. We use the discrete-time state feedback control to stabilize stochastic coupled systems with time delay. Moreover, by employing Lyapunov method and graph theory, the upper bound of the duration between two consecutive state observations is obtained and some criteria are established to guarantee the stabilization in sense of (Formula presented.) -stability and mean-square asymptotic stability of SCSs with time delay via feedback control based on discrete-time state observations. In addition, to verify the theoretical results, stochastic coupled oscillators with time delay are performed. At last, a numerical example is given to illustrate the applicability and effectiveness of our analytical results.